Reciprocity and Representations for Wave Fields in 3D Inhomogeneous Parity-Time Symmetric Materials

C.P.A. Wapenaar*, E.C. Slob

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

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Abstract

Inspired by recent developments in wave propagation and scattering experiments with parity-time (PT) symmetric materials, we discuss reciprocity and representation theorems for 3D inhomogeneous PT-symmetric materials and indicate some applications. We start with a unified matrix-vector wave equation which accounts for acoustic, quantum-mechanical, electromagnetic, elastodynamic, poroelastodynamic, piezoelectric and seismoelectric waves. Based on the symmetry properties of the operator matrix in this equation, we derive unified reciprocity theorems for wave fields in 3D arbitrary inhomogeneous media and 3D inhomogeneous media with PT-symmetry. These theorems form the basis for deriving unified wave field representations and relations between reflection and transmission responses in such media. Among the potential applications are interferometric Green’s matrix retrieval and Marchenko-type Green’s matrix retrieval in PT-symmetric materials.
Original languageEnglish
Article number2236
Number of pages28
JournalSymmetry
Volume14
Issue number11
DOIs
Publication statusPublished - 2022

Keywords

  • parity-time symmetry
  • metamaterials
  • Green’s matrix
  • reciprocity

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